ar X iv : h ep - t h / 94 05 08 7 v 1 1 3 M ay 1 99 4 Hirota equation as an example of integrable symplectic map ∗

ar X iv : h ep - p h / 94 05 25 5 v 1 9 M ay 1 99 4 6453 April , 1994 ( T / E ) Spin , Mass , and Symmetry

ar X iv : h ep - t h / 94 08 04 1 v 1 7 A ug 1 99 4 June 1994 Current - like variables in massive and massless integrable models 1

ar X iv : h ep - t h / 93 05 10 4 v 1 2 1 M ay 1 99 3 The role of mathematics in contemporary theoretical physics ∗

ar X iv : h ep - t h / 99 05 22 4 v 1 3 1 M ay 1 99 9 Whitham Deformations and Tau Functions in N = 2 Supersymmetric Gauge Theories ∗

We review new aspects of integrable systems discovered recently in N = 2 supersymmetric gauge theories and their topologically twisted versions. The main topics are (i) an explicit construction of Whitham deformations of the Seiberg-Witten curves for classical gauge groups, (ii) its application to contact terms in the u-plane integral of topologically twisted theories, and (iii) a connection be...

ar X iv : h ep - p h / 94 05 28 5 v 1 1 3 M ay 1 99 4 TUTP – 94 - 10

We consider dyon configurations in the standard electroweak model. In the presence of a θ term and no fermions, the usual result q = (n+ θ/2π)e is obtained for the electric charge spectrum. The effect of including standard model fermions is discussed qualitatively.